What is the value of 30*cos(90) ?

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30*cos(90)

30 \cdot cos (9 0^{\circ})

0

Solution steps

30 cos (9 0^{\circ})

Use the following trivial identity:

cos (9 0^{\circ}) = 0

cos (9 0^{\circ})

cos (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= 0

= 30 \cdot 0

Simplify

= 0

cos (\frac{3 π}{4} + \frac{5 π}{6})

- (\frac{2}{π}) (4) cos (1 0^{\circ}) - cos (8)

tan^{2} (3 0^{\circ}) + cos^{2} (6 0^{\circ})

\frac{sin ( 6 0 ^{\circ} ) cos ( 3 0 ^{\circ} )}{tan ( 4 5 ^{\circ} )}

\frac{1}{e ^{0.01} ( sin ( 0.01 ) + cos ( 0.01 ) )}